Solve Vo: Voltage Nodal Analysis w/ KCL Equation

[elhaxx]

I'm asked to solve for Vo for this equation. I've set the bottom node to be my reference node before applying nodal analysis. When included in the KCL equation for node at Vb, will the dependent voltage source 20iΔ be negative since the current through that element is leaving node C?
Say, the equation would be: [(Vb-10v)/10Ω]+ (Vb/40Ω)+[(Vb+20iΔ)/20Ω]=0
Thanks!

 

[anorlunda]

I moved this to the homework forum. Please post homework questions to a homework forum and fill out the required information.

 

[NascentOxygen]

When included in the KCL equation for node at Vb, will the dependent voltage source 20iΔ be negative since the current through that element is leaving node C?

–20i_Δ is the voltage Vc

(typo corrected)

 

[berkeman]

Welcome to the PF.

I'm asked to solve for Vo for this equation.

I see Va, Vb, Vc labeled, but no Vo label. Which voltage are you supposed to solve for? Thanks.

 

[DaveE]

Welcome to the PF.

I see Va, Vb, Vc labeled, but no Vo label. Which voltage are you supposed to solve for? Thanks.

Vo = Vb, labeled across the 40ohm resistor.

 

[DaveE]

Your equation looks good to me. The voltage at node Vc is negative because of the polarity of the dependent source, as labeled in the schematic.